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Proofs Parallel Lines
Hauen laguntzarekin: Pappal
Please complete the following proof
Prove: ∡2 ≅ ∡7
Given: a⇈b
a
b
1
3
2
5
4
7
6
8
c
Prove: ∡2 ≅ ∡7
Given: a⇈b
a
b
What should go in the blank
for statement #1?
1
3
2
5
4
7
6
8
c
1

∡2 ≅ ∡6

∡3 ≅ ∡6

 a⇈b

a⇈c

Statements
Reasons
1
Prove: ∡2 ≅ ∡7
Given: a⇈b
a
b
What should go in the blank
for reason #1?
1
3
2
5
4
7
6
8
c
1

alternate interior ∡

given

reflexive

corresponding ∡

Statements
a⇈b
Reasons
1
Prove: ∡2 ≅ ∡7
Given: a⇈b
a
b
What should go in the blank
for statement #2?
1
3
2
5
4
7
6
8
c
1

2

∡2 ≅ ∡8
∡7 ≅ ∡6

∡4 ≅ ∡6

∡2 ≅ ∡7

Statements
a⇈b
Reasons
1

2

given
Prove: ∡2 ≅ ∡7
Given: a⇈b
a
b
What should go in the blank
for reason #2?
1
3
2
5
4
7
6
8
c
1

2

alternate interior ∡

corresponding∡

vertical ∡

congruent ∡

Statements
∡7 ≅ ∡6
a⇈b
Reasons
1

2

given
Prove: ∡2 ≅ ∡7
Given: a⇈b
a
b
What should go in the blank
for statement #3?
1
3
2
5
4
7
6
8
c
1

2

3

∡1 ≅ ∡4

∡2 ≅ ∡6

∡3 ≅ ∡7

∡5 ≅ ∡8

Statements
∡7 ≅ ∡6
a⇈b
Reasons
1

2

3

vertical ∡
given
Prove: ∡2 ≅ ∡7
Given: a⇈b
a
b
What should go in the blank
for reason #3?
1
3
2
5
4
7
6
8
c
1

2

3

alternate interior ∡

corresponding ∡

vertical ∡

congruent ∡

Statements
∡7 ≅ ∡6
∡2 ≅ ∡6
a⇈b
Reasons
1

2

3

vertical ∡
given
Prove: ∡2 ≅ ∡7
Given: a⇈b
a
b
What should go in the blank
for statement #4?
1
3
2
5
4
7
6
8
c
1

2

3

4

∡1 ≅ ∡4

∡2 ≅ ∡6

∡2 ≅ ∡7

∡5 ≅ ∡8

Statements
∡7 ≅ ∡6
∡2 ≅ ∡6
a⇈b
Reasons
1

2

3

4

corresponding ∡
vertical ∡
given
Prove: ∡2 ≅ ∡7
Given: a⇈b
a
b
What should go in the blank
for reason #4?
1
3
2
5
4
7
6
8
c
1

2

3

4

reflexive

alternate interior ∡

CPCTC

transitive

Statements
∡7 ≅ ∡6
∡2 ≅ ∡7
∡2 ≅ ∡6
a⇈b
Reasons
1

2

3

4

corresponding ∡
vertical ∡
given
Please complete the following proof
Prove: ∡2 ≅ ∡7
Given: a⇈b
a
b
Match the reason with the correct statement
1
3
2
5
4
7
6
8
c
1

2

3

4

Statements
∡2 ≅ ∡3
∡6 ≅ ∡7
∡6 ≅ ∡3
a⇈b
∡2 ≅ ∡7
Reasons
1

2

3

4

vertical ∡
?
Alt int ∡
?

substitution

?
given
?
Please complete the following proof
Prove: ∡1 ≅ ∡8
Given: a⇈b
a
b
Match the statement with the correct reason
1
3
2
5
4
7
6
8
c
1

2

3

4

Statements

∡1 ≅ ∡4

?
∡5 ≅ ∡8
∡5 ≅ ∡4
?
a⇈b
?
∡1 ≅ ∡8
?
Reasons
1

2

3

4

vertical ∡
Alt int ∡

substitution

given
Please complete the following proof
Prove: ∡1 ≅ ∡8
Given: a⇈b
a
b
Please match the correct statement/reason
1
3
with its corresponding part.
2
5
4
7
6
8
c
1

2

3

4

Statements
∡8 ≅ ∡5
∡1 ≅ ∡8
∡1 ≅ ∡5
?
a⇈b
?
Reasons
1

2

3

4

corresponding ∡
vertical ∡
?
Transitive
?
given
Intereseko beste azterketa batzuk :
Proving triangles congruent
Classification of angles and triangles
G 1. Geometry Definitions Chatper 1a
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